Hostname: page-component-5c6d5d7d68-lvtdw Total loading time: 0 Render date: 2024-08-22T03:57:27.298Z Has data issue: false hasContentIssue false
  • English
  • Français

An indecomposable $\bm{PD_3}$-complex whose fundamental group has infinitely many ends

Published online by Cambridge University Press:  03 February 2005

JONATHAN A. HILLMAN
JONATHAN A. HILLMAN
Affiliation:
School of Mathematics and Statistics, The University of Sydney, Sydney, NSW 2006, Australia. e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

We show that $S_3*_{Z/2Z}S_3$ satisfies Turaev's criterion to be the fundamental group of an orientable $PD_3$-complex. Since this group has infinitely many ends but is indecomposable as a free product this provides a negative answer to a question of Wall.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 138 , Issue 1 , January 2005 , pp. 55 - 57
Copyright
2005 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)